Flows driven by multi-indices Rough Paths
arXiv:2502.14771 · doi:10.1016/j.jde.2025.113931
Abstract
In this work, we introduce a solution theory for scalar-valued rough differential equations driven by multi-indices rough paths. To achieve this task, we will show how the flow approach using the log-ODE method introduced by Bailleul fits perfectly in this setting. In addition, we also describe the action of the translation of multi-indices rough paths at the level of rough differential equations.
35 pages
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